Trimmed L-moments (1,0) for the generalized Pareto distribution

Ahmad, Ummi Nadiah and Shabri, Ani and Zakaria, Zahrahtul Amani (2011) Trimmed L-moments (1,0) for the generalized Pareto distribution. Hydrological Sciences Journal, 56 (6). pp. 1053-1060. ISSN 0262-6667

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Abstract

Statistical analysis of extremes is often used for predicting the higher return-period events. In this paper, the trimmed L-moments with one smallest value trimmed—TL-moments (1,0)—are introduced as an alternative way to estimate floods for high return periods. The TL-moments (1,0) have an ability to reduce the undesirable influence that a small value in the statistical sample might have on a large return period. The main objective of this study is to derive the TL-moments (1,0) for the generalized Pareto (GPA) distribution. The performance of the TL-moments (1,0) was compared with L-moments through Monte Carlo simulation based on the streamflow data of northern Peninsular Malaysia. The result shows that, for some cases, the use of TL-moments (1,0) is a better option as compared to L-moments in modelling those series.

Item Type: Article
Keywords: L-moments; TL-moments; generalized Pareto distribution; parameter estimation
Subjects: Q Science > Q Science (General)
Faculty / Institute: Faculty of Informatics & Computing
Depositing User: Dr Zahrahtul Amani Zakaria
Date Deposited: 21 Jan 2015 08:03
Last Modified: 21 Jan 2015 08:03
URI: http://erep.unisza.edu.my/id/eprint/475

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